Generalized Microlensing Effective Timescale
Abstract
The microlensing effective timescale teff=beta*tE is used frequently in high-magnification (beta << 1) microlensing events, because it is better constrained than either the impact parameter beta or the Einstein timescale tE separately. It also facilitates intuitive understanding of lightcurves prior to determination of a model. Similar considerations may apply to very low magnification events. I therefore provide a generalization of this quantity to all events: teff = beta*tE*sqrt((1+beta2/2)(1+beta2/4)).
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